The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is skewed right. However, records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.6 minutes. Complete parts(a) through (c) below.Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2).(a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required?Choose the required sample size below.A. The normal model cannot be used if the shape of the distribution is skewed right.O B. Any sample size could be used.C. The sample size needs to be less than 30.OD. The sample size needs to be greater than 30.(b) What is the probability that a random sample of n = 35 oil changes results in a sample mean time less than 15 minutes?The probability is approximately.(Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday,the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, therewould be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established bythe manager.There is a 10% chance of being at or below a mean oil-change time of |minutes.(Round to one decimal place as needed.)

Answered: Image /qna-images/answer/273cf4be-b85e-4b2c-8e59-92fbf992a505.jpg

Answered: (c) Suppose the manager agrees to pay…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 2 At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population. 1. Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable. 2. 3. 4. Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain. Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response. Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for…
Question 4 a) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She wants to estimate the mean of the population of relief times. She believes that the population is normally distributed with a population standard deviation of 25 minutes. How large a sample should she take to estimate the mean time to within 5 minutes with 95% confidence? b) An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 320 people living in East Vancouver and finds that 40 have recently had the flu.Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.05. How large a sample should…
Question 12 During 2008, college work-study students earned a mean of $1478. Assume that a sample consisting of 25 of the work-study students at a large university was found to have earned a mean of $1503 during that year, with a standard deviation of $210. If the null and alternative hypotheses can be used to suggest that the average earnings of this university’s work-study students were significantly higher than the national mean. At 5% level of significance what is your conclusion? There is enough evidence to support the claim There is no enough evidence to support the claim There is enough evidence to reject the claim There is no enough evidence to reject the claim
Question 3 The average score of all sixth graders in school District A on a math aptitude exam is 75 with a standard deviation of 8.1. A random sample of 80 students in one school was taken. The mean score of these 100 students was 71. Does this indicate that the students of this school are significantly different in their mathematical abilities than the average student in the district? Use a 5% level of significance.
Question 8 Consider this scenario: A cereal-packing company where the content of cereal boxes must have a mean of 368 grams to satisfy the labeling on the box. Because it is expensive to weigh every box produced at the factory, a sample of boxes is used to estimate the actual mean. After analyzing the data sample, the operations manager must decide whether or not the manufacturing process is working as expected. Suppose a sample of 49 boxes is taken from thousands produced during an 8-hour shift and the standard deviation (σ) of the cereal-filling process is 15, what is the standard error of the mean? Use the equation, σX̅ = σ /(square-root of n), where n is the sample size. Enter your result as a value with one digit after the decimal point (e.g. 1.7).
EXPERIMENT 1: A researcher believes that on average women weigh less today than during the renaissance period around the 15th to 16th centuries. To investigate this belief, a random sample of 41 adult wômen is chosen and their weights are recorded. The mean weight of the sample is 111 pounds with a standard deviation of 12.4 pounds. Based on historical records and paintings of women from the renaissance, it is determined that the average weight of an adult women from that period would have been about 115 pounds.
QUESTION 8 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the degrees of freedom total? Please do the calculations on the handout provided.
Question 2 At the end of 2020, the mean age of the U.S. population was estimated to be 38.5 years old. You are tasked with determining whether the mean age of the population of IAT participants (for your chosen IAT data set) differs from the mean age of the U.S. population. 1. Let be the mean age of the population of IAT participants for your chosen IAT data set. State the hypotheses (symbolically and in words). Include a clear description of the populations and the variable. 2. 3. 4. Use StatCrunch to create a histogram for the age distribution in your unique IAT sample. Download the StatCrunch output window and embed your histogram with your response. Can we safely use the t-test with your IAT sample? Explain. Perform the t-test using StatCrunch. Copy the information from the StatCrunch output window and paste it into your response. Based on the P-value, state your conclusions in context. Use a 5% level of significance. (NOTE: Since StatCrunch correctly calculates the P-value for…
Question 7 Data from the Bureau of Labor Statistics reports that the typical manufacturing worker in Wisconsin in 1997 earned a weekly salary of $424.20. Suppose you wanted to see if this were true just in the far Southeastern portion of the state. You obtain a sample of tax returns for manufacturing workers in Racine and Kenosha for the year 1997. Your sample consists of 54 workers and has a mean weekly salary of $432.69 with a standard deviation of $33.90 At a 90% confidence level test the claim that manufacturing workers in Racine and Kenosha had the same salary as workers across the state. What will be your critical value? A) 1.645 B) 1.96 C) 2.33 D) 2.575
QUESTION 6 The Corner Drug Store fills prescriptions for a popular children's antibiotic, amoxicillin. The daily demand for amoxicillin is normally distributed, with a mean of 200 kilograms and a standard deviation of 80 kilograms. The vendor for the pharmaceutical firm that supplies the drug calls the drugstore pharmacist every 30 days to check the inventory of amoxicillin. During a call, the druggist indicated that the store had 60 kilograms of the antibiotic in stock. The lead time to receive an order is 4 days. a) Determine the order size that will enable the drugstore to maintain a 95% service level.
QUESTION 21 If commuting times are normally distributed with mean 31.3 minutes and standard deviation 13.2 minutes, what is the z-score (the number of standard deviations away from the mean) of a 28.7 minute commute
Problem 6. A law student wants to check on her professor's claim that convicted embezzlers spend on average 12.6 months in jail. To test this statement, the student takes a random sample of 46 convicted embezzlers and finds that the average length of jail time for the sample is 11.7 months with a sample standard deviation of 3.6 months. Does this data indicate that the professor's statement was wrong? Use a = .05 level of significance to conduct the appropriate test. (Hint: Case II) a. State the null hypothesis. b. State the alternative hypothesis. c. Select test statistic and compute the test statistic value. d. Find the reject region (or the P-value) of your test and state your conclusion.

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